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Home » Post-quantum Key Exchange—A New Hope
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Post-quantum Key Exchange—A New Hope

Authors: 

Erdem Alkim, Ege University; Léo Ducas, Centrum voor Wiskunde en Informatica; Thomas Pöppelmann, Infineon Technologies AG; Peter Schwabe, Radboud University

Winner of the 2016 Internet Defense Prize

Abstract: 

At IEEE Security & Privacy 2015, Bos, Costello, Naehrig, and Stebila proposed an instantiation of Peikert’s ring-learning-with-errors–based (Ring-LWE) key exchange protocol (PQCrypto 2014), together with an implementation integrated into OpenSSL, with the affirmed goal of providing post-quantum security for TLS. In this work we revisit their instantiation and stand-alone implementation. Specifically, we propose new parameters and a better suited error distribution, analyze the scheme’s hardness against attacks by quantum computers in a conservative way, introduce a new and more efficient error-reconciliation mechanism, and propose a defense against backdoors and all-for-the-price-of-one attacks. By these measures and for the same lattice dimension, we more than double the security parameter, halve the communication overhead, and speed up computation by more than a factor of 8 in a portable C implementation and by more than a factor of 27 in an optimized implementation targeting current Intel CPUs. These speedups are achieved with comprehensive protection against timing attacks.

Erdem Alkim, Ege University

Léo Ducas, Centrum voor Wiskunde en Informatica

Thomas Pöppelmann, Infineon Technologies AG

Peter Schwabe, Radboud University

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BibTeX
@inproceedings {197151,
author = {Erdem Alkim and L{\'e}o Ducas and Thomas P{\"o}ppelmann and Peter Schwabe},
title = {Post-quantum Key {Exchange{\textemdash}A} New Hope},
booktitle = {25th USENIX Security Symposium (USENIX Security 16)},
year = {2016},
isbn = {978-1-931971-32-4},
address = {Austin, TX},
pages = {327--343},
url = {https://www.usenix.org/conference/usenixsecurity16/technical-sessions/presentation/alkim},
publisher = {USENIX Association},
month = aug,
}
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